Finite-size effects in lattice QCD with dynamical Wilson fermions

Orth, Boris; Lippert, Thomas; Schilling, Klaus

doi:10.1103/physrevd.72.014503

Cited by 57 publications

(134 citation statements)

References 52 publications

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“…[2] and to a plain HMC as used in ref. [8]. The simulations were done on 24 3 × 32 lattices with β = 5.6 and pseudo scalar masses of m PS = 665 MeV, 485 MeV and 380 MeV (runs A, B and C).…”

Section: Hmc With Multiple Time Scale Integration and Mass Preconditimentioning

confidence: 99%

HMC algorithm with multiple time scale integration and mass preconditioning

Urbach¹,

Jansen²,

Shindler³

et al. 2005

Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005)

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We describe a new HMC algorithm variant we have recently introduced and extend the published results by preliminary results of a simulation with a pseudo scalar mass value of m PS ≈ 300 MeV. This new run confirms our expectation that simulations with such pseudo scalar mass values become feasible and affordable with our HMC variant. In addition we discuss simulations from hot and cold starts at m PS ≈ 300 MeV, which we performed in order to test for possible metastabilities.

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Section: Hmc With Multiple Time Scale Integration and Mass Preconditimentioning

confidence: 99%

HMC algorithm with multiple time scale integration and mass preconditioning

Urbach¹,

Jansen²,

Shindler³

et al. 2005

Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005)

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“…One, of course, is lattice QCD, see [6][7][8][9][10][11] and Refs. therein, but important insights have also been obtained from effective theories such as chiral perturbation theory [12][13][14], or the quark-meson model [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Volume behavior of quark condensate, pion mass, and decay constant from Dyson-Schwinger equations

2010

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We solve the coupled system of Dyson-Schwinger and Bethe-Salpeter equations for the quark propagator and the pion Bethe-Salpeter amplitude on a finite volume. To this end we use a truncation scheme that includes pion cloud effects in the quark propagator and light mesons. We study volume effects in the quark condensate, the pion mass and the pion decay constant and compare to corresponding results in other approaches. In general we find large effects for volumes below V = (1.8 fm) 4 .

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“…In most cases the quenched approximation is good when the mass of the pion is higher than 600 MeV, but is expected to fail in the chiral limit. In order to check the validity of our results in this range of pion masses, we repeat our mass splitting measurements on a set of configurations with two degenerate flavors of dynamical Wilson fermions at 5:6 [11]. In Table I we collect the parameters of our calculation.…”

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confidence: 99%

Evidence for Diquarks in Lattice QCD

2006

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Diquarks may play an important role in hadron spectroscopy, baryon decays, and color superconductivity. We investigate the existence of diquark correlations in lattice QCD by considering systematically all the lowest energy diquark channels in a color gauge-invariant setup. We measure mass differences between the various channels and show that the positive parity scalar diquark is the lightest. Quark-quark correlations inside the diquark are clearly seen in this channel, and yield a diquark size of O 1 fm. DOI: 10.1103/PhysRevLett.97.222002 PACS numbers: 12.38.Gc, 11.15.Ha, 12.38.Aw Diquarks were originally proposed several decades ago [1] as a natural way to explain the absence of a large number of exotics otherwise predicted by QCD. Recently, it has been realized that they provide a natural explanation for an exotic baryon antidecuplet, the [2], that cannot be accommodated in the quark model. The first evidence for the was reported by the LEPS Collaboration [3], but subsequent experiments cast doubts on its existence [4]. Independently of whether a pentaquark exists or not, diquark correlations may play an important role in the description of quark distributions and fragmentation functions and in explaining the systematics of nonleptonic weak decays of light quark hadrons [5]. In addition, diquarks are the central ingredient of cold, dense matter where they condense to form a color superconductor. Despite their potential role in explaining such a variety of phenomena in hadronic physics, quantitative analyses that can directly assess whether diquark correlations are present in QCD are lacking. Lattice QCD is the method of choice for studying hadronic states. However, diquarks are colored objects and need an appropriate formalism to study them using lattice simulations. One way is to fix the gauge as done in an early study on the mass of the diquarks [6]. In this work we present a gauge-invariant formalism, where we create color singlet states by considering diquarks in the background of a static quark [7,8]. This enables us to extract mass differences between baryons containing diquarks in the various channels. These mass differences, unlike diquark masses themselves, are well defined and gauge invariant.One gluon exchange indicates quark-quark attraction in the color antitriplet 3 c , flavor antisymmetric 3 f , and spin singlet positive parity channel. Diquarks in this channel are referred to as ''good'' diquarks [5]. The aim of this work is to check whether QCD dynamics supports attraction in this channel and compare it with other diquark channels. Possible diquark configurations are created by two quark operators and insertions of the covariant derivative. In this work we consider only diquark configurations with no derivatives because these are lower in energy. We therefore consider all 16 diquark multiplets that can be created by operators bilinear in the quark fields of the form q T Cÿq with C i 0 2 the charge conjugation operator, and ÿ 1, , 5 , 5 , . The positive parity channels are q T C 5 q and q...

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Finite-size effects in lattice QCD with dynamical Wilson fermions

Cited by 57 publications

References 52 publications

HMC algorithm with multiple time scale integration and mass preconditioning

HMC algorithm with multiple time scale integration and mass preconditioning

Volume behavior of quark condensate, pion mass, and decay constant from Dyson-Schwinger equations

Evidence for Diquarks in Lattice QCD

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